Classifying
Polynomials
Polynomials
-5x
Linear Monomial
6a*9a^2
54a3
(x2 + 3x - 1) + (2x2 + 4x + 5)
3x2 + 7x + 4
(2x - 6)(-3x + 2)
-6x2 +22x-12
Factor out GCF: 24x2 - 18x + 12
GCF: 6
A rectangular garden has a length and width represented by the following expressions: (x + 3) feet by (x + 2) feet. Find the expression that represents the perimeter. Simplify your expression and write
it in standard form.
2(x + 3) + 2(x + 2) = 2x + 6 + 2x + 2 = 4x + 8
7x^2 + 4x
Quadratic Binomial
6xy(-8x2y)
-48x3y2
(4x2 + 5x - 1) - (x2 + 2x - 7)
3x2 + 3x + 6
(x - 5) (x + 5)
x2 + 6x - 27
Factor: x2 + 7x + 12
(x + 3)(x + 4)
A square picture has an area represented by the expression (x2 + 12x + 36) square inches. Find the side length measure of the picture.
(x + 6) inches
5x + 1
Linear Binomial
-3ab*2a^2b^3
-6a3b4
(x3 + 4x - 3) + (x2 + 8)
x3 + x2 + 4x + 5
(x - 6)2
x2 - 12x + 36
Factor: x2 - 16
(x + 4)(x - 4)
A rectangular garden has the following dimensions: length = (4x + 7) feet and width = (2x + 3) feet. Find the expression that represents the garden's area. *Foil
(4x + 7)(2x + 3) = 8x2 + 26x + 12 square feet
-4x^2+11x-2
Quadratic Trinomial
8x2y(9xy)
72x3y2
-8
(2x - 3)(x2+5x+7)
2x3+7x2-x-21
Use the "X Method" to factor: 6x2 + 13x - 5
(3x - 1)(2x + 5)
A square hole with side length (x + 2) inches is cut from a square piece of fabric with side length (x + 6) inches. Find the expression that represents the area of the reminaing material.
(x + 6)2 - (x + 2)2
4x^3-2x^2+10x^2-1
Cubic Trinomial
(5x)2
25x2
(x2 + 5x + 26) - (5x + 3)
x2 + 23
(9+3x)(x+4x2-2)
12x3+39x2+3x-18
Factor: x2 + 22x + 121
(x + 11)(x + 11) = (x + 11)2
The base of a triangle measures (2x + 6) meters and the height measures (x + 4) meters. Find the area of the triangle. (A = 1/2 B x H)
1/2 (2x + 6)(x + 4) = x2 + 7x + 12